pith. sign in
Pith Number

pith:YJNLDL3T

pith:2013:YJNLDL3THJNHXUGJD3EIZUVKA7
not attested not anchored not stored refs pending

Optimal Liquidity Provision

Christoph K\"uhn, Johannes Muhle-Karbe

arxiv:1309.5235 v3 · 2013-09-20 · q-fin.TR · math.OC · math.PR · q-fin.PM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YJNLDL3THJNHXUGJD3EIZUVKA7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T02:26:10.922573Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c25ab1af733a5a7bd0c91ec88cd2aa07ce33b966c764f5313128a38b39138c10

Aliases

arxiv: 1309.5235 · arxiv_version: 1309.5235v3 · doi: 10.48550/arxiv.1309.5235 · pith_short_12: YJNLDL3THJNH · pith_short_16: YJNLDL3THJNHXUGJ · pith_short_8: YJNLDL3T
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YJNLDL3THJNHXUGJD3EIZUVKA7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c25ab1af733a5a7bd0c91ec88cd2aa07ce33b966c764f5313128a38b39138c10
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f7355603eff25e9aa7167f5bc1fb9e6ddf694fb782ae4be32fd9e31a2d12109c",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR",
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.TR",
    "submitted_at": "2013-09-20T11:08:39Z",
    "title_canon_sha256": "420d5f757ce930b14c53acd56c6e75001cb971f172388a3cf95c14a203793e55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5235",
    "kind": "arxiv",
    "version": 3
  }
}